threejs/examples/js/shaders/SSRShader.js

( function () {

	/**
 * References:
 * https://lettier.github.io/3d-game-shaders-for-beginners/screen-space-reflection.html
 */

	const SSRShader = {
		defines: {
			MAX_STEP: 0,
			PERSPECTIVE_CAMERA: true,
			DISTANCE_ATTENUATION: true,
			FRESNEL: true,
			INFINITE_THICK: false,
			SELECTIVE: false
		},
		uniforms: {
			'tDiffuse': {
				value: null
			},
			'tNormal': {
				value: null
			},
			'tMetalness': {
				value: null
			},
			'tDepth': {
				value: null
			},
			'cameraNear': {
				value: null
			},
			'cameraFar': {
				value: null
			},
			'resolution': {
				value: new THREE.Vector2()
			},
			'cameraProjectionMatrix': {
				value: new THREE.Matrix4()
			},
			'cameraInverseProjectionMatrix': {
				value: new THREE.Matrix4()
			},
			'opacity': {
				value: .5
			},
			'maxDistance': {
				value: 180
			},
			'cameraRange': {
				value: 0
			},
			'thickness': {
				value: .018
			}
		},
		vertexShader: /* glsl */`

		varying vec2 vUv;

		void main() {

			vUv = uv;

			gl_Position = projectionMatrix * modelViewMatrix * vec4( position, 1.0 );

		}

	`,
		fragmentShader: /* glsl */`
		// precision highp float;
		precision highp sampler2D;
		varying vec2 vUv;
		uniform sampler2D tDepth;
		uniform sampler2D tNormal;
		uniform sampler2D tMetalness;
		uniform sampler2D tDiffuse;
		uniform float cameraRange;
		uniform vec2 resolution;
		uniform float opacity;
		uniform float cameraNear;
		uniform float cameraFar;
		uniform float maxDistance;
		uniform float thickness;
		uniform mat4 cameraProjectionMatrix;
		uniform mat4 cameraInverseProjectionMatrix;
		#include <packing>
		float pointToLineDistance(vec3 x0, vec3 x1, vec3 x2) {
			//x0: point, x1: linePointA, x2: linePointB
			//https://mathworld.wolfram.com/Point-LineDistance3-Dimensional.html
			return length(cross(x0-x1,x0-x2))/length(x2-x1);
		}
		float pointPlaneDistance(vec3 point,vec3 planePoint,vec3 planeNormal){
			// https://mathworld.wolfram.com/Point-PlaneDistance.html
			//// https://en.wikipedia.org/wiki/Plane_(geometry)
			//// http://paulbourke.net/geometry/pointlineplane/
			float a=planeNormal.x,b=planeNormal.y,c=planeNormal.z;
			float x0=point.x,y0=point.y,z0=point.z;
			float x=planePoint.x,y=planePoint.y,z=planePoint.z;
			float d=-(a*x+b*y+c*z);
			float distance=(a*x0+b*y0+c*z0+d)/sqrt(a*a+b*b+c*c);
			return distance;
		}
		float getDepth( const in vec2 uv ) {
			return texture2D( tDepth, uv ).x;
		}
		float getViewZ( const in float depth ) {
			#ifdef PERSPECTIVE_CAMERA
				return perspectiveDepthToViewZ( depth, cameraNear, cameraFar );
			#else
				return orthographicDepthToViewZ( depth, cameraNear, cameraFar );
			#endif
		}
		vec3 getViewPosition( const in vec2 uv, const in float depth/*clip space*/, const in float clipW ) {
			vec4 clipPosition = vec4( ( vec3( uv, depth ) - 0.5 ) * 2.0, 1.0 );//ndc
			clipPosition *= clipW; //clip
			return ( cameraInverseProjectionMatrix * clipPosition ).xyz;//view
		}
		vec3 getViewNormal( const in vec2 uv ) {
			return unpackRGBToNormal( texture2D( tNormal, uv ).xyz );
		}
		vec2 viewPositionToXY(vec3 viewPosition){
			vec2 xy;
			vec4 clip=cameraProjectionMatrix*vec4(viewPosition,1);
			xy=clip.xy;//clip
			float clipW=clip.w;
			xy/=clipW;//NDC
			xy=(xy+1.)/2.;//uv
			xy*=resolution;//screen
			return xy;
		}
		void main(){
			#ifdef SELECTIVE
				float metalness=texture2D(tMetalness,vUv).r;
				if(metalness==0.) return;
			#endif

			float depth = getDepth( vUv );
			float viewZ = getViewZ( depth );
			if(-viewZ>=cameraFar) return;

			float clipW = cameraProjectionMatrix[2][3] * viewZ+cameraProjectionMatrix[3][3];
			vec3 viewPosition=getViewPosition( vUv, depth, clipW );

			vec2 d0=gl_FragCoord.xy;
			vec2 d1;

			vec3 viewNormal=getViewNormal( vUv );

			#ifdef PERSPECTIVE_CAMERA
				vec3 viewIncidentDir=normalize(viewPosition);
				vec3 viewReflectDir=reflect(viewIncidentDir,viewNormal);
			#else
				vec3 viewIncidentDir=vec3(0,0,-1);
				vec3 viewReflectDir=reflect(viewIncidentDir,viewNormal);
			#endif

			float maxReflectRayLen=maxDistance/dot(-viewIncidentDir,viewNormal);
			// dot(a,b)==length(a)*length(b)*cos(theta) // https://www.mathsisfun.com/algebra/vectors-dot-product.html
			// if(a.isNormalized&&b.isNormalized) dot(a,b)==cos(theta)
			// maxDistance/maxReflectRayLen=cos(theta)
			// maxDistance/maxReflectRayLen==dot(a,b)
			// maxReflectRayLen==maxDistance/dot(a,b)

			vec3 d1viewPosition=viewPosition+viewReflectDir*maxReflectRayLen;
			#ifdef PERSPECTIVE_CAMERA
				if(d1viewPosition.z>-cameraNear){
					//https://tutorial.math.lamar.edu/Classes/CalcIII/EqnsOfLines.aspx
					float t=(-cameraNear-viewPosition.z)/viewReflectDir.z;
					d1viewPosition=viewPosition+viewReflectDir*t;
				}
			#endif
			d1=viewPositionToXY(d1viewPosition);

			float totalLen=length(d1-d0);
			float xLen=d1.x-d0.x;
			float yLen=d1.y-d0.y;
			float totalStep=max(abs(xLen),abs(yLen));
			float xSpan=xLen/totalStep;
			float ySpan=yLen/totalStep;
			for(float i=0.;i<float(MAX_STEP);i++){
				if(i>=totalStep) break;
				vec2 xy=vec2(d0.x+i*xSpan,d0.y+i*ySpan);
				if(xy.x<0.||xy.x>resolution.x||xy.y<0.||xy.y>resolution.y) break;
				float s=length(xy-d0)/totalLen;
				vec2 uv=xy/resolution;

				float d = getDepth(uv);
				float vZ = getViewZ( d );
				if(-vZ>=cameraFar) continue;
				float cW = cameraProjectionMatrix[2][3] * vZ+cameraProjectionMatrix[3][3];
				vec3 vP=getViewPosition( uv, d, cW );

				#ifdef PERSPECTIVE_CAMERA
					// https://comp.nus.edu.sg/~lowkl/publications/lowk_persp_interp_techrep.pdf
					float recipVPZ=1./viewPosition.z;
					float viewReflectRayZ=1./(recipVPZ+s*(1./d1viewPosition.z-recipVPZ));
				#else
					float viewReflectRayZ=viewPosition.z+s*(d1viewPosition.z-viewPosition.z);
				#endif

				// if(viewReflectRayZ>vZ) continue; // will cause "npm run make-screenshot webgl_postprocessing_ssr" high probability hang.
				// https://github.com/mrdoob/three.js/pull/21539#issuecomment-821061164
				if(viewReflectRayZ<=vZ){

					bool hit;
					#ifdef INFINITE_THICK
						hit=true;
					#else
						float away=pointToLineDistance(vP,viewPosition,d1viewPosition);

						float minThickness;
						vec2 xyNeighbor=xy;
						xyNeighbor.x+=1.;
						vec2 uvNeighbor=xyNeighbor/resolution;
						vec3 vPNeighbor=getViewPosition(uvNeighbor,d,cW);
						minThickness=vPNeighbor.x-vP.x;
						minThickness*=3.;
						float tk=max(minThickness,thickness);

						hit=away<=tk;
					#endif

					if(hit){
						vec3 vN=getViewNormal( uv );
						if(dot(viewReflectDir,vN)>=0.) continue;
						float distance=pointPlaneDistance(vP,viewPosition,viewNormal);
						if(distance>maxDistance) break;
						float op=opacity;
						#ifdef DISTANCE_ATTENUATION
							float ratio=1.-(distance/maxDistance);
							float attenuation=ratio*ratio;
							op=opacity*attenuation;
						#endif
						#ifdef FRESNEL
							float fresnelCoe=(dot(viewIncidentDir,viewReflectDir)+1.)/2.;
							op*=fresnelCoe;
						#endif
						vec4 reflectColor=texture2D(tDiffuse,uv);
						gl_FragColor.xyz=reflectColor.xyz;
						gl_FragColor.a=op;
						break;
					}
				}
			}
		}
	`
	};
	const SSRDepthShader = {
		defines: {
			'PERSPECTIVE_CAMERA': 1
		},
		uniforms: {
			'tDepth': {
				value: null
			},
			'cameraNear': {
				value: null
			},
			'cameraFar': {
				value: null
			}
		},
		vertexShader: /* glsl */`

		varying vec2 vUv;

		void main() {

			vUv = uv;
			gl_Position = projectionMatrix * modelViewMatrix * vec4( position, 1.0 );

		}

	`,
		fragmentShader: /* glsl */`

		uniform sampler2D tDepth;

		uniform float cameraNear;
		uniform float cameraFar;

		varying vec2 vUv;

		#include <packing>

		float getLinearDepth( const in vec2 uv ) {

			#if PERSPECTIVE_CAMERA == 1

				float fragCoordZ = texture2D( tDepth, uv ).x;
				float viewZ = perspectiveDepthToViewZ( fragCoordZ, cameraNear, cameraFar );
				return viewZToOrthographicDepth( viewZ, cameraNear, cameraFar );

			#else

				return texture2D( tDepth, uv ).x;

			#endif

		}

		void main() {

			float depth = getLinearDepth( vUv );
			float d = 1.0 - depth;
			// d=(d-.999)*1000.;
			gl_FragColor = vec4( vec3( d ), 1.0 );

		}

	`
	};
	const SSRBlurShader = {
		uniforms: {
			'tDiffuse': {
				value: null
			},
			'resolution': {
				value: new THREE.Vector2()
			},
			'opacity': {
				value: .5
			}
		},
		vertexShader: /* glsl */`

		varying vec2 vUv;

		void main() {

			vUv = uv;
			gl_Position = projectionMatrix * modelViewMatrix * vec4( position, 1.0 );

		}

	`,
		fragmentShader: /* glsl */`

		uniform sampler2D tDiffuse;
		uniform vec2 resolution;
		varying vec2 vUv;
		void main() {
			//reverse engineering from PhotoShop blur filter, then change coefficient

			vec2 texelSize = ( 1.0 / resolution );

			vec4 c=texture2D(tDiffuse,vUv);

			vec2 offset;

			offset=(vec2(-1,0))*texelSize;
			vec4 cl=texture2D(tDiffuse,vUv+offset);

			offset=(vec2(1,0))*texelSize;
			vec4 cr=texture2D(tDiffuse,vUv+offset);

			offset=(vec2(0,-1))*texelSize;
			vec4 cb=texture2D(tDiffuse,vUv+offset);

			offset=(vec2(0,1))*texelSize;
			vec4 ct=texture2D(tDiffuse,vUv+offset);

			// float coeCenter=.5;
			// float coeSide=.125;
			float coeCenter=.2;
			float coeSide=.2;
			float a=c.a*coeCenter+cl.a*coeSide+cr.a*coeSide+cb.a*coeSide+ct.a*coeSide;
			vec3 rgb=(c.rgb*c.a*coeCenter+cl.rgb*cl.a*coeSide+cr.rgb*cr.a*coeSide+cb.rgb*cb.a*coeSide+ct.rgb*ct.a*coeSide)/a;
			gl_FragColor=vec4(rgb,a);

		}
	`
	};

	THREE.SSRBlurShader = SSRBlurShader;
	THREE.SSRDepthShader = SSRDepthShader;
	THREE.SSRShader = SSRShader;

} )();